Question

An old grindstone, used for sharpening tools, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular acceleration of 0.908 rad/s².

a)

What is the moment of inertia of the wheel (in kg, m²)?

b)

What is the mass (in kg) of the wheel?

c)

The wheel starts from rest and the tangential force remains constant over a time period of 4.50 s. What is the angular speed (in rad/s) of the wheel at the end of this time period?

Answer 1

Griven R Radies of the cobeel O.330 m 1n ft tangentiat forcce 300 N a = 0.908 Dade a Toreee on coheel due to tangenteal forece fosce xalistance = Fix Rx sing0 (200 N) x C0.330 mx1 99 Nom -7 Gnet 99 Nm net Gnet 99 Nm 109. 03 K. m a O.908 0ad S2 moment of nerctia 1 109.03 Kr Criven O4 greindetone a solid cindrcical eheel ceflendes n So, moment of onerctia borc Solial MR 2 I M 2x 109.03 K. m 218.06 200a, 40 KS C0.330m 0.1089 > a002.40 K Given te 4.50S, -0 a 0.908 rad Using eqeatiss Ot0.908 X 4.50 S 4.086 oad (Aps)